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Math Mnemonics and songs For Geometry

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A collection of math mnemonics for geometry - to help you to remember various math facts, formulas and figures pertaining to geometry.

In these lessons, we shall look at some useful mnemonics and songs to help you remember

  • geometry terms
  • the value of pi (π)
  • the formulas for the area and circumference of a circle
  • the types of triangles: equilateral, isosceles, scalene, right
  • types of angles - acute, right, straight, obtuse, reflex, full rotation
  • complementary and supplementary angles
  • angle properties
  • perimeter and area
  • area formulas
  • 3 D shapes

Geometry Terms

Geometry Vocabulary Song
On the _________ day of math class my teacher taught to me.....
(1) A line goes forever 2 ways
(2) A segment is a part
(3) A ray goes 1 way
(4) Point is a dot
(5) Supplement is the sum of 180
(6) Bisect cuts in half
(7) Comp adds to 90
(8) Collinear on a line
(9) Perpendicular make a 90
(10) Vertical needs an x
(11) Midpoint is the mean
(12) Equal is congruent

Value of Pi (π)

Count the number of letters in each word:

Pi (π) to 7 decimal places: (Word lengths are digits)
May I have a large container of coffee?
3.1415926

Pi (π) to 10 decimal places: (Word lengths are digits)
May I have a large container of coffee ready for today?
3.1415926535

Pi (π) to 12 decimal places: (Word lengths are digits)
See, I have a rhyme assisting my feeble brain, its tasks oft-times resisting.
3.141592653589

Pi (π) to 30 decimal places: (Word lengths are digits)
Now I, even I, would celebrate
In rhymes unapt, the great
Immortal Syracusan, rivaled nevermore,
Who in his wondrous lore,
Passed on before,
Left men his guidance
How to circles mensurate.


and another one also to 30 decimal places (written by Michael Shapiro)
Now I will a rhyme construct
By chosen words the young instruct.
Cunningly devised endeavour,
Con it and remember ever.
Widths of circle here you see.
Sketched out in strange obscurity
.

3.1415926535897932384626433832795

A song to help you memorize pi up to about 300 digits



Area and Circumference of Circle

Tweedle-dee-dum and Tweedle-dee-dee,
Around the circle is pi times d,
But if the area is declared,
Think of the formula π "r" squared.

"Around the circle" is the circumference.
Circumference = π × d (diameter).
Area = π × r(radius) squared.


Area Of A Circle (see area of a circle)
Apple pies are square: A = π × r2
Apple pies are round: A = π × r × r

Circumference Of A Circle (see circumference of a circle)
Cherry pie's delicious!: Circumference = π × d
Apple pies are too!: Area = π × r2

The following figure gives some mnemonics to help you remember the formulas for the circumference and area of a circle. Scroll down the page for more examples and helps.

Circumference and Area of Circle formula

A song to help you remember radius, diameter, circumference, area of a circle.

Types of triangles

A song to help you remember the different types of triangles - equilateral, isosceles, scalene, right

Isosceles Triangle (see isosceles triangle)

Sing this to the tune of "Oh Christmas Tree":
    Oh isosceles, oh isosceles
    Two angles have
    Equal degrees

    Oh isosceles, oh isosceles
    You look just like
    A Christmas tree

A sentence to help you spell isosceles
I s
at on sunny cliff eating lovely egg sandwiches
(contributed by Margaret and her student)


Angles

A song to help you remember the different types of angles - acute, right, straight, obtuse, reflex, full rotation

Complementary and Supplementary angles

Complementary angles form 90 degrees
Complementary angles form a corner.
This video shows three methods to help you remember complementary and supplementary angles.
Method 1: In the alphabet, the letter "C" for complementary comes before the letter "S" for supplementary and in the number line 90 comes before 180.
Method 2: A corner is 90-degree angle and a Corner is Complementary. A straight angle is 180 degrees and Supplementary angles are Straight angles.
Method 3: The word complementary has one p, the word supplementary has two p's. We can take one p to represent 90 and two p's to represent 180. Angle Properties (Math Song)
In geometry if you want to fare well
You need to know that parallel lines
They never touch
They're always the same distance apart
It's as if they don't like each other much

And there's only one thing that comes between them
Yes a line that passes right through each of them
It's called the transversal
And it has several angle properties
Just like these

Vertically opposite angles are equal!
Corresponding angles are equal!
Alternate interior angles are equal!
Co-interior angles equal 180

Now before you try some geometry problems
You're gonna need some more knowledge to solve them
So listen closely up to these
Other helpful angle properties

See, angles in a triangle or on a line
Add up to 180 every time
Angles around a point or in a quadrilateral are easy
They always add up to 360

Vertically opposite angles are equal!
Corresponding angles are equal!
Alternate interior angles are equal!
Co-interior angles equal 180
-----
Song and video by Colin Dodds

Perimeter and Area

This song helps you to remember the difference between perimeter and area.

Area Formulas

Math Song (Area Formulae)
Learn the 6 major plane shape formulae musically: Square, Rectangle, Triangle, Parallelogram, Rhombus/Kite and Trapezium (Trapezoid). 3-D Shapes Song
A song to help you learn the properties of 3-D shapes.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget


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